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Hyperbolas
Diagonal Hyperbola
The equation
xy
= 16 also represents a hyperbola. This hyperbola has its center at (0, 0), and its transverse axis is the line
y = x
. The asymptotes are the
x
- and
y
-axes. Its vertices are at (?16, ?16) and (-?16, -?16). The graph is shown below.